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Finding the Fourth Proportional to 13,927.30, 20,842.14 and 9,982.90

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Solution

The fourth proportional to 13,927.30, 20,842.14 and 9,982.90 is: 14,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.30 : 20,842.14 = 9,982.90 : x
  2. Step 2: Convert to fraction form
    13,927.30/20,842.14 = 9,982.90/x
  3. Step 3: Cross multiply
    13,927.30x = 20,842.14 × 9,982.90
  4. Step 4: Simplify right side
    13,927.30x = 208,064,999.41
  5. Step 5: Solve for x
    x = 208,064,999.41/13,927.30
  6. Step 6: Final answer
    x = 14,939.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.